Bulletin of the American Physical Society
APS April Meeting 2019
Volume 64, Number 3
Saturday–Tuesday, April 13–16, 2019; Denver, Colorado
Session X11: Exact Solutions and Mathematical Relativity
10:45 AM–12:09 PM,
Tuesday, April 16, 2019
Sheraton
Room: Governor's Square 17
Sponsoring
Unit:
DGRAV
Chair: Sam Gralla, University of Arizona
Abstract: X11.00005 : Properties of Wormhole Solutions of Einstein’s field equations for the Levi-Civita metric
11:33 AM–11:45 AM
View Presentation Abstract
Presenter:
Cooper K Watson
(Baylor University)
Authors:
Cooper K Watson
(Baylor University)
Brandon Mattingly
(Baylor University)
Abinash Kar
(Baylor University)
William Julius
(Baylor University)
Matthew Gorban
(Baylor University)
Caleb Elmore
(Baylor University)
Bahram Shakerin
(Baylor University)
Eric W Davis
(Institute for Advanced Studies at Austin)
Gerald Cleaver
(Baylor University)
Collaboration:
CASPER-Center for Astrophysics Space Physics and Engineering Research, EUCOS-Early Universe Cosmology and Strings
Previous investigations of the Levi-Civita (LC) Effect [1] in the polarizable vacuum have shown that the spacetime geometry of the spatial part of the LC metric [2] describes a three-metric of a hypercylinder S2 x Ɍ that can be interpreted as a special class of wormhole [3]. This hypercylinder metric has a position dependent gravitational potential possessing no asymptotically flat region, no flared-out wormhole mouth and no wormhole throat. From the Einstein field equations, we derive the non-trivial curvature invariants of a LC metric. We examine these curvature invariants to determine the similarities and differences of the LC metric to the better known metrics of Lorentzian Traversable Wormholes [4].
References:
[1] H.E. Puthoff, Claudio Maccone, E.W. Davis, “Levi-Civita Effect in the polarizable vacuum (PV) representation of general relativity,” arXiv:0403064 [physics.gen-ph].
[2] M. Morris and K. Thorn, Am. J. Phys. 56 (1988) 395.
[3] C. Maccone, “SETI Via Wormholes,” Proc. 47th Intern’l Astronautical Fed. (IAF) Congress, Beijing, 1996.
[4] B. Mattingly, A. Kar, M.D. Ali, A. Baas, C. Elmore, C. Watson, B. Shakerin, E. Davis, G. Cleaver, “Curvature Invariants for Lorentzian Traversable Wormholes,” arXiv:1806.10985[gr-gc].
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